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Finding the Fourth Proportional to 968.66, 1,458.29 and 662.48

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Solution

The fourth proportional to 968.66, 1,458.29 and 662.48 is: 997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.66 : 1,458.29 = 662.48 : x
  2. Step 2: Convert to fraction form
    968.66/1,458.29 = 662.48/x
  3. Step 3: Cross multiply
    968.66x = 1,458.29 × 662.48
  4. Step 4: Simplify right side
    968.66x = 966,077.36
  5. Step 5: Solve for x
    x = 966,077.36/968.66
  6. Step 6: Final answer
    x = 997.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.